Geometric nonlinear free vibration of axially functionally graded non-uniform beams supported on elastic foundation
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In this article, a non-linear free vibration analysis is performed on a tapered Axially Functionally Graded (AFG) beam resting on an elastic foundation with different boundary conditions.Abstract:
Abstract In the present study non-linear free vibration analysis is performed on a tapered Axially Functionally Graded (AFG) beam resting on an elastic foundation with different boundary conditions. Firstly the static problem is carried out through an iterative scheme using a relaxation parameter and later on the subsequent dynamic problem is solved as a standard eigen value problem. Minimum potential energy principle is used for the formulation of the static problem whereas for the dynamic problem Hamilton’s principle is utilized. The free vibrational frequencies are tabulated for different taper profile, taper parameter and foundation stiffness. The dynamic behaviour of the system is presented in the form of backbone curves in dimensionless frequency-amplitude plane.read more
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Nonlinear Dynamic Response of an Axially Functionally Graded (AFG) Beam Resting on Nonlinear Elastic Foundation Subjected to Moving Load
TL;DR: In this article, nonlinear vibration analysis of a simply supported axially functionally graded (AFG) beam subjected to a moving harmonic load as an Euler-Bernoulli beam utilizing Green's strain tensor is proposed.
Journal ArticleDOI
Nonlinear response of axially functionally graded Timoshenko beams on elastic foundation under harmonic excitation
TL;DR: In this paper, the forced vibration of non-uniform axially functionally graded (AFG) Timoshenko beam on elastic foundation is performed under harmonic excitation, and a separate free vibration analysis is undertaken to include backbone curves with the frequency response curves in the non-dimensional plane.
Journal ArticleDOI
Vibrational behavior of temperature-dependent imperfect functionally graded plate lying on an elastic substrate
TL;DR: In this article, the vibrational behavior of temperature-dependent imperfect functionally graded (IFG) plate lying on an elastic substrate in the thermal environment is investigated, and the imperfection eff...
Journal ArticleDOI
Large amplitude forced vibration analysis of an axially functionally graded tapered beam resting on elastic foundation
TL;DR: In this article, a displacement-based semi-analytical method was used to study large amplitude forced vibration of a linearly tapered axially functionally graded (AFG) beam resting on an elastic foundation.
References
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Elastic buckling and static bending of shear deformable functionally graded porous beam
TL;DR: In this paper, the elastic buckling and static bending analysis of shear deformable functionally graded (FG) porous beams based on the Timoshenko beam theory is presented, where the elasticity moduli and mass density of porous composites are assumed to be graded in the thickness direction according to two different distribution patterns.
Journal ArticleDOI
Static analysis of functionally graded beams using higher order shear deformation theory
TL;DR: In this paper, the static behavior of functionally graded metal-ceramic (FGM) beams under ambient temperature FGM beams with variation of volume fraction of metal or ceramic based on power law exponent are considered Using the principle of stationary potential energy, the finite element form of static equilibrium equation for FGM beam is presented.
Journal ArticleDOI
Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions
TL;DR: In this article, the free vibration and stability analysis of axially functionally graded tapered Timoshenko beams is studied through a finite element approach, where exact shape functions for uniform homogeneous Timoshenko beam elements are used to formulate the proposed element.
Journal ArticleDOI
A unified higher order beam theory for buckling of a functionally graded microbeam embedded in elastic medium using modified couple stress theory
Mesut Şimşek,J. N. Reddy +1 more
TL;DR: Based on the modified couple stress theory (MCST), a unified higher order beam theory which contains various beam theories as special cases is proposed for buckling of a functionally graded (FG) microbeam embedded in elastic Pasternak medium as mentioned in this paper.
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